Each of eight bearings in a bearing assembly has a diameter (in millimeters) that has the pdf f(x) = 10*x^9 , 0< x < 1; zero otherwise Let Y=max(X1,X2,...,X8) be the maximum diameter. Assuming independence, find the CDF and the PDF of the maximium of the eight bearings and compute P(0.9999 < Y < 1)